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Finding the Fourth Proportional to 8,714.70, 13,072.05 and 3,780.18

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Solution

The fourth proportional to 8,714.70, 13,072.05 and 3,780.18 is: 5,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.70 : 13,072.05 = 3,780.18 : x
  2. Step 2: Convert to fraction form
    8,714.70/13,072.05 = 3,780.18/x
  3. Step 3: Cross multiply
    8,714.70x = 13,072.05 × 3,780.18
  4. Step 4: Simplify right side
    8,714.70x = 49,414,701.97
  5. Step 5: Solve for x
    x = 49,414,701.97/8,714.70
  6. Step 6: Final answer
    x = 5,670.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.